76344400 has 60 divisors (see below), whose sum is σ = 200103264. Its totient is φ = 27760000.

The previous prime is 76344397. The next prime is 76344421. The reversal of 76344400 is 444367.

It is a super-2 number, since 2×76344400² = 11656934822720000, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4276 + ... + 13075.

Almost surely, 2^76344400 is an apocalyptic number.

It is an amenable number.

76344400 is an abundant number, since it is smaller than the sum of its proper divisors (123758864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

76344400 is a wasteful number, since it uses less digits than its factorization.

76344400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17380 (or 17369 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 28.

The square root of 76344400 is about 8737.5282546038. The cubic root of 76344400 is about 424.2212266671.

Adding to 76344400 its reverse (444367), we get a palindrome (76788767).

The spelling of 76344400 in words is "seventy-six million, three hundred forty-four thousand, four hundred".